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<h3 class="heading"><span class="type">Paragraph</span></h3>
<p><dfn class="terminology">Idea:</dfn> Replacing <span class="process-math">\(C_1\)</span> and <span class="process-math">\(C_2\)</span> by two functions <span class="process-math">\(u_1(x)\)</span> and <span class="process-math">\(u_2(x)\text{.}\)</span> Then determine <span class="process-math">\(u_1(x)\)</span> and <span class="process-math">\(u_2(x)\)</span> to make</p>
<div class="displaymath process-math" data-contains-math-knowls="./knowl/eq3_24.html">
\begin{equation}
Y=u_1(x) y_1+u_2(x) y_2\tag{3.7.3}
\end{equation}
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<p class="continuation">be a particular solution to (<a href="" class="xref" data-knowl="./knowl/eq3_24.html" title="Equation 3.7.1">(3.7.1)</a>).</p>
<span class="incontext"><a href="sec3_7.html#p-136" class="internal">in-context</a></span>
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